{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook covers Bayesian probability updating and Mult-Armed Bandits. We introduce the Beta distribution and show how it evolves as you apply a Bayesian updating procedure to it. We then show how this illustrated concept is used in a Reinforcement Learning technique called the Multi-Armed Bandit (MAB). We present a MAB Class that simulates a MAB in practice and provide helper functions to visually explore their progress. \n",
    "\n",
    "<i>More description to come...</i>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import scipy as sp\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Bayesian Updating"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA20AAANnCAYAAACiabCsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niIiIVLD/D0BCQ/VyLWMcAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d9cda58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.stats import beta\n",
    "\n",
    "def getBetaPDF(a, b):\n",
    "    '''\n",
    "    Returns a pdf of a specified beta distribution\n",
    "    '''\n",
    "    #x = np.linspace(beta.ppf(0.01, a, b), beta.ppf(0.99, a, b), 100)\n",
    "    x = np.linspace(0.001, 0.999, 100)\n",
    "    return beta.pdf(x, a, b)\n",
    "\n",
    "\n",
    "##Simulate a Bayesian updating process and visualize the Beta\n",
    "\n",
    "\n",
    "p = 0.1\n",
    "k = 4\n",
    "alpha_prior = 1\n",
    "beta_prior = 1\n",
    "s_total = 0\n",
    "n_total = 0\n",
    "\n",
    "ns = [0] + [2**i for i in range(k**2 - 1)]\n",
    "\n",
    "fig = plt.figure(figsize = (15, 15))\n",
    "x = np.linspace(0.001, 0.999, 100)\n",
    "\n",
    "for i, new_trials in enumerate(ns):\n",
    "\n",
    "    \n",
    "    s_new = sum((np.random.random(new_trials) < p))\n",
    "    \n",
    "    alpha_prior += s_new\n",
    "    s_total += s_new\n",
    "    n_total += new_trials\n",
    "    beta_prior += (new_trials - s_new) \n",
    "    \n",
    "    \n",
    "    beta_pdf = sp.stats.beta.pdf(x, alpha_prior, beta_prior)\n",
    "    \n",
    "    ax = fig.add_subplot(k, k, i + 1)\n",
    "    p_map = round((alpha_prior) / (float(beta_prior) + alpha_prior), 3)\n",
    "    p_mle = round(s_total / (n_total + 0.0000000001), 3)\n",
    "\n",
    "    plt.plot(x, beta_pdf, 'r', label = 'MAP={}, MLE={}'.format(p_map, p_mle))\n",
    "    plt.legend(loc = 3, fontsize = 10)\n",
    "    ax.axes.get_xaxis().set_visible(False)\n",
    "    plt.title('n = {}'.format(n_total))\n",
    "\n",
    "    \n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "## The MAB Simulator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def getProb(n, s):\n",
    "    \n",
    "    if n > 0:\n",
    "        return s / float(n)\n",
    "    else:\n",
    "        return 0.0\n",
    "\n",
    "def getUCB(n, s):\n",
    "    '''\n",
    "    Assumes 95% UCB so Z = 1.96\n",
    "    '''\n",
    "    \n",
    "    #Need to address the cold start problem by randomly selecting\n",
    "    if n > 0 and s > 0:\n",
    "        \n",
    "        p = getProb(n, s)\n",
    "        return p + 1.96 * np.sqrt(p * (1 - p) / n)\n",
    "\n",
    "    else:\n",
    "        return np.random.beta(1, 1)\n",
    "\n",
    "class mabSimulator(object):\n",
    "    \n",
    "\n",
    "    def __init__(self, p_truths, draws, alp = 1, bet = 1, \n",
    "                 strategy = 'Thompson', snapshot = 10):\n",
    "        '''\n",
    "        p_truths = an n element list where each element is in [0, 1]\n",
    "        alpha and beta = priors for the beta distribution\n",
    "        draws = number of draws for the multi-armed bandit\n",
    "        strategy = one of Thompson, UCB\n",
    "        snapshot = take a snapshot after k draws\n",
    "        '''\n",
    "\n",
    "        self.p_truths = p_truths\n",
    "        self.cumresults = {i:[bet, alp] for i in range(len(p_truths))}\n",
    "        self.results_snapshot = {'policy':[],\n",
    "                                'round': [],\n",
    "                                'draws': [],\n",
    "                                'successes': [],\n",
    "                                'probs': [],\n",
    "                                'betaProbs': []}\n",
    "        \n",
    "        self.draws = draws\n",
    "        self.snapshot = snapshot\n",
    "        self.beta_prior = bet\n",
    "        self.alpha_prior = alp\n",
    "        self.strategy = strategy\n",
    "        \n",
    "    def _thompsonSamp(self):\n",
    "        '''\n",
    "        Draw from Beta(alpha + suc, beta + n - suc)\n",
    "        '''\n",
    "        beta_draws = [np.random.beta(x[1][1], x[1][0]) \n",
    "                    for x in list(self.cumresults.items())]\n",
    "        \n",
    "        return self._chooseBestPolicy(beta_draws)\n",
    "    \n",
    "    def _epsGreedy(self):\n",
    "        '''\n",
    "        Draw from an epsilon greedy algorithm\n",
    "        '''\n",
    "        epsilon = 0.2\n",
    "\n",
    "        probs = [getProb(x[1][0] + x[1][1] - self.beta_prior, x[1][1] - self.alpha_prior) \n",
    "                    for x in list(self.cumresults.items())]\n",
    "        \n",
    "        #Add a small tie breaker\n",
    "        probs = [p + np.random.random() / 100000 for p in probs]\n",
    "        \n",
    "        best_i = _chooseBestPolicy(probs)\n",
    "        \n",
    "        if np.random.random() > epsilon:\n",
    "            return best_i\n",
    "        \n",
    "        else:\n",
    "            leftover = [i for i in range(len(probs)) if i != best_i]\n",
    "            return leftover[np.random.randint(0, len(leftover))]\n",
    "\n",
    "        \n",
    "    def _ucbSamp(self):\n",
    "        '''\n",
    "        Chooses the policy with the highest upper confidence band\n",
    "        '''\n",
    "        #For UCB we want to remove the prior from our results\n",
    "        ucbs = [getUCB(x[1][0] + x[1][1] - self.beta_prior, x[1][1] - self.alpha_prior) \n",
    "                    for x in list(self.cumresults.items())]\n",
    "        \n",
    "        return self._chooseBestPolicy(ucbs)\n",
    "\n",
    "    def _chooseBestPolicy(self, scores):\n",
    "\n",
    "        max_policy = -1\n",
    "        max_score = 0\n",
    "\n",
    "        for i, score in enumerate(scores):\n",
    "            \n",
    "            if score > max_score:\n",
    "                \n",
    "                max_score = score\n",
    "                max_policy = i\n",
    "                \n",
    "        return max_policy        \n",
    "        \n",
    "    def _singleDraw(self):\n",
    "        '''\n",
    "        1. Chooses a policy based on sampling strategy\n",
    "        2. Receives an input result (based on truth)\n",
    "        3. Updates cumresults\n",
    "        '''\n",
    "        if self.strategy == 'Thompson':\n",
    "            \n",
    "            policy = self._thompsonSamp()\n",
    "            \n",
    "        else if self.strategy = 'UCB':\n",
    "            policy = self._ucbSamp()\n",
    "            \n",
    "        else:\n",
    "            policy = self._epsGreedy()\n",
    "            \n",
    "        #Now interact with the world to get a result (i.e., random number generator)\n",
    "        success = int(np.random.random() < self.p_truths[policy])\n",
    "        self.cumresults[policy][0] += 1 - success #Increment the total failures\n",
    "        self.cumresults[policy][1] += success #Increment the total successes\n",
    "        \n",
    "        \n",
    "    def runSimulation(self):\n",
    "        '''\n",
    "        wrapper method that runs the full simulation\n",
    "        '''\n",
    "        snapshot_counter = 0\n",
    "        self._getSnapshot(0)\n",
    "        \n",
    "        for i in range(1, self.draws + 1):\n",
    "            \n",
    "            self._singleDraw()\n",
    "            snapshot_counter += 1\n",
    "            \n",
    "            if snapshot_counter == self.snapshot:\n",
    "                self._getSnapshot(i)\n",
    "                snapshot_counter = 0\n",
    "        \n",
    "        \n",
    "    def _getSnapshot(self, i):\n",
    "        \n",
    "        n = len(self.p_truths)\n",
    "        self.results_snapshot['policy'] += range(n)\n",
    "        self.results_snapshot['round'] += [i for k in range(n)]\n",
    "        \n",
    "        \n",
    "        alphas = np.array([x[1][1] for x in list(self.cumresults.items())])\n",
    "        betas = np.array([x[1][0] for x in list(self.cumresults.items())])\n",
    "        \n",
    "        draws = alphas + betas - self.beta_prior - self.alpha_prior\n",
    "        successes = alphas - self.alpha_prior\n",
    "        \n",
    "        self.results_snapshot['draws'] += list(draws)\n",
    "        self.results_snapshot['successes'] += list(successes)\n",
    "        self.results_snapshot['probs'] += list(map(getProb, draws, successes))\n",
    "        self.results_snapshot['betaProbs'] += list(map(getProb, alphas + betas, alphas))\n",
    "\n",
    "        \n",
    "        \n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 187,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def r():\n",
    "    return np.random.random()\n",
    "\n",
    "def plotMabSim(mabsim, colors = None):\n",
    "\n",
    "    res = pd.DataFrame(mabsim.results_snapshot)\n",
    "    policies = list(set(res['policy'].values))\n",
    "\n",
    "    if colors == None:\n",
    "        colors = [(r(), r(), r()) for i in policies]\n",
    "    \n",
    "    fig = plt.figure(figsize = (15, 8))\n",
    "    plt.title('MAB Sequences Over Time')\n",
    "\n",
    "    ax1 = fig.add_subplot(211)\n",
    "    for i in policies:\n",
    "        res_i = res[(res.policy == i)]\n",
    "        plt.plot(res_i['round'], res_i.betaProbs, color = colors[i], markersize = 4)\n",
    "        ax1.set_ylim([0.05, 0.55])\n",
    "        plt.plot(res_i['round'], mabsim.p_truths[i] * np.ones(len(res_i['round'])), 'g--', markersize = 2)\n",
    "    \n",
    "    ax2 = fig.add_subplot(212)\n",
    "    for i in policies:\n",
    "        res_i = res[(res.policy == i)]\n",
    "        plt.plot(res_i['round'], res_i.draws, color = colors[i])\n",
    "        \n",
    "    ax2.set_xlabel('Round')\n",
    "    ax2.set_ylabel('Number Draws')\n",
    "    ax1.set_ylabel('MAP Prob Estimate')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 188,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA4wAAAH4CAYAAAAB5mNcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nlFJV/X93qQUeCUzIOAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ad71780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = ['r', 'g', 'k', 'y', 'b']\n",
    "ps = [0.1, 0.125, 0.15, 0.2, 0.225]\n",
    "\n",
    "mabsim_ts = mabSimulator(ps, 2000, snapshot = 1, strategy = 'Thompson')\n",
    "mabsim_ts.runSimulation()\n",
    "plotMabSim(mabsim_ts, colors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA30AAAHaCAYAAAC0DCDGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ncgu0/AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10dcf2748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = ['r', 'g', 'k', 'y', 'b']\n",
    "ps = [0.1, 0.125, 0.15, 0.2, 0.225]\n",
    "\n",
    "mabsim_ucb = mabSimulator(ps, 2000, snapshot = 1, strategy = 'UCB')\n",
    "mabsim_ucb.runSimulation()\n",
    "plotMabSim(mabsim_ucb, colors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA30AAAHaCAYAAAC0DCDGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d13f470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = ['r', 'g', 'k', 'y', 'b']\n",
    "ps = [0.1, 0.125, 0.15, 0.2, 0.225]\n",
    "\n",
    "mabsim_eps = mabSimulator(ps, 2000, snapshot = 1, strategy = 'EPS')\n",
    "mabsim_eps.runSimulation()\n",
    "plotMabSim(mabsim_eps, colors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 164,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "\n",
    "def multipleSims(strategy, sims):\n",
    "    '''\n",
    "    Run multiple simulations and get average payout across simulations\n",
    "    '''\n",
    "    df_list = []\n",
    "    for i in range(sims):\n",
    "        mabsim2 = mabSimulator(ps, 5000, snapshot = 20, strategy = strategy)\n",
    "        mabsim2.runSimulation()\n",
    "        a = pd.DataFrame(mabsim2.results_snapshot)\n",
    "        df_list.append(a[['round', 'successes','draws']].groupby(['round']).sum().reset_index())\n",
    "        \n",
    "    return pd.concat(df_list).groupby(['round']).sum().reset_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 190,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "ts = multipleSims('thompson', 100)\n",
    "ucb = multipleSims('UCB', 100)\n",
    "eps = multipleSims('eps', 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 189,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x10c6a53c8>"
      ]
     },
     "execution_count": 189,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAuIAAAEZCAYAAADSXkB4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAUrERUREREQiQIm4iIiIiEgE/H/9XHh2R8BZRAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10dded4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize = (12, 4))\n",
    "ax = fig.add_subplot(111)\n",
    "plt.plot(ts['round'], ts['successes'] / ts['draws'], label = 'Thompson')\n",
    "plt.plot(ucb['round'], ucb['successes'] / ucb['draws'], label = 'UCB')\n",
    "plt.plot(eps['round'], eps['successes'] / eps['draws'], label = 'Eps-Greedy')\n",
    "plt.title('Avg Reward for Different MAB Strategies')\n",
    "ax.set_xlabel('Round')\n",
    "ax.set_ylabel('Avg Reward / Round')\n",
    "plt.legend(loc = 4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [py35]",
   "language": "python",
   "name": "Python [py35]"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
